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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Spherical unitary highest weight representations
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by Bernhard Krötz and Karl-Hermann Neeb PDF
Trans. Amer. Math. Soc. 354 (2002), 1233-1264 Request permission

Abstract:

In this paper we give an almost complete classification of the $H$-spherical unitary highest weight representations of a hermitian Lie group $G$, where $G/H$ is a symmetric space of Cayley type.
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Additional Information
  • Bernhard Krötz
  • Affiliation: Department of Mathematics, The Ohio State University, 231 West 18th Avenue, Columbus, Ohio 43210-1174
  • Email: kroetz@math.ohio-state.edu
  • Karl-Hermann Neeb
  • Affiliation: Fachbereich Mathematik, Technische Universität Darmstadt, Schloßgartenstr. 7, D-64289 Darmstadt, Germany
  • MR Author ID: 288679
  • Email: neeb@mathematik.tu-darmstadt.de
  • Received by editor(s): March 7, 2001
  • Published electronically: October 26, 2001
  • Additional Notes: Part of the work of the first author was supported by the Erwin-Schrödinger-Institut, Vienna, and NSF grant DMS-0097314
    Part of the work of the second author was done on a visit supported by the Research Institute of The Ohio State University
  • © Copyright 2001 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 354 (2002), 1233-1264
  • MSC (1991): Primary 22E46
  • DOI: https://doi.org/10.1090/S0002-9947-01-02897-5
  • MathSciNet review: 1867380